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Finding the Fourth Proportional to 316.25, 436.43 and 178.25

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Solution

The fourth proportional to 316.25, 436.43 and 178.25 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.25 : 436.43 = 178.25 : x
  2. Step 2: Convert to fraction form
    316.25/436.43 = 178.25/x
  3. Step 3: Cross multiply
    316.25x = 436.43 × 178.25
  4. Step 4: Simplify right side
    316.25x = 77,792.76
  5. Step 5: Solve for x
    x = 77,792.76/316.25
  6. Step 6: Final answer
    x = 245.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.